Title of article :
EXTENSION OF KRULL S INTERSECTION THEOREM FOR FUZZY MODULE
Author/Authors :
Sedighi ، Ali Reza - University of Birjand , Hosseini ، Mohammad Hossein - University of Birjand
Abstract :
In this article we introduce µ- ltered fuzzy module with a family of fuzzy submodules. It shows the relation between µ- ltered fuzzy modules and crisp ltered modules by level sets. We investigate fuzzy topology on the µ- ltered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull s intersection theorem of fuzzy ideals by using concept µ-adic completion.
Keywords :
µ , Fuzzy filtered module , Fuzzy inverse system , Fuzzy topological group , Krull s intersection theorem
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
